Research Article
A Novel Generalized-M Family: Heavy-Tailed Characteristics with Applications in the Engineering Sector
Table 2
The results of simulation study of the NGen-Weibull model for
.
| n | Parameters | MLEs | MSEs | Biases |
| 25 | | 1.31593100 | 0.06018998 | 0.11593107 | | 1.15609700 | 0.06972226 | 0.15609747 | | 3.521391 00 | 6.81451700 | 2.12139120 |
| 50 | | 1.27756200 | 0.02981195 | 0.07756164 | | 1.11790400 | 0.03426620 | 0.11790373 | | 3.09305000 | 5.33528900 | 1.69305020 |
| 75 | | 1.25680900 | 0.01970635 | 0.05680943 | | 1.11059700 | 0.02987176 | 0.11059712 | | 2.82767500 | 4.37315800 | 1.42767490 |
| 100 | | 1.24857200 | 0.01439279 | 0.04857249 | | 1.09752400 | 0.02442831 | 0.09752428 | | 2.70442400 | 3.93945800 | 1.30442440 |
| 150 | | 1.24033500 | 0.00977599 | 0.04033521 | | 1.08714200 | 0.01868892 | 0.08714193 | | 2.54872100 | 3.39428500 | 1.14872050 |
| 200 | | 1.23262200 | 0.00796338 | 0.03262186 | | 1.08038100 | 0.01673055 | 0.08038127 | | 2.371564 00 | 2.86718800 | 0.97156410 |
| 300 | | 1.22736100 | 0.00530184 | 0.02736133 | | 1.07003400 | 0.01288601 | 0.07003359 | | 2.22198800 | 2.33619000 | 0.82198780 |
| 400 | | 1.22436800 | 0.00405492 | 0.02436773 | | 1.06347700 | 0.01088123 | 0.06347681 | | 2.12821500 | 1.93233700 | 0.72821510 |
| 500 | | 1.22567700 | 0.00368187 | 0.02567661 | | 1.06176400 | 0.01014781 | 0.06176444 | | 2.08797300 | 1.74341300 | 0.68797340 |
| 600 | | 1.22408200 | 0.00313356 | 0.02408230 | | 1.06221500 | 0.01017182 | 0.06221497 | | 2.07237900 | 1.67631700 | 0.67237860 |
| 700 | | 1.22470600 | 0.00298151 | 0.02470586 | | 1.05719500 | 0.00926426 | 0.05719467 | | 2.01288900 | 1.09605800 | 0.61288930 |
| 750 | | 1.21170200 | 0.00269140 | 0.02170158 | | 1.05450700 | 0.00855028 | 0.05450734 | | 1.91506500 | 0.99343000 | 0.57506490 |
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